Abstract: The volume presents studies on various issues in mechanics and dynamical systems theory, including the self-similar piston problem in a Prandtl–Reuss elastoplastic medium with special properties, homogenization
of acoustic equations for a heterogeneous layered medium consisting of creep materials, spectral stability of shock waves in singular limits of smooth heteroclinic solutions to an extended system of equations, and
stability of periodic orbits of a planar Birkhoff billiard. The problem of Arnold diffusion, dynamics of nonholonomic systems, integrable systems in analytical mechanics, and problems of the KAM theory in
infinite-dimensional Hamiltonian systems are also discussed.
The volume is of interest to researchers, postgraduates, and students specializing in analytical mechanics and continuum mechanics.

The volume presents studies on various issues in mechanics and dynamical systems theory, including the self-similar piston problem in a Prandtl--Reuss elastoplastic medium with special properties, homogenization
of acoustic equations for a heterogeneous layered medium consisting of creep materials, spectral stability of shock waves in singular limits of smooth heteroclinic solutions to an extended system of equations, and stability of periodic orbits of a planar Birkhoff billiard. The problem of Arnold diffusion, dynamics of nonholonomic systems, integrable systems in analytical mechanics, and problems of the KAM theory in infinite-dimensional Hamiltonian systems are also discussed.

The volume is of interest to researchers, postgraduates, and students specializing in analytical mechanics and continuum mechanics.